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Finding the Fourth Proportional to 710,381.92, 980,329.20 and 408,556

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Solution

The fourth proportional to 710,381.92, 980,329.20 and 408,556 is: 563,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,381.92 : 980,329.20 = 408,556 : x
  2. Step 2: Convert to fraction form
    710,381.92/980,329.20 = 408,556/x
  3. Step 3: Cross multiply
    710,381.92x = 980,329.20 × 408,556
  4. Step 4: Simplify right side
    710,381.92x = 400,519,376,635.20
  5. Step 5: Solve for x
    x = 400,519,376,635.20/710,381.92
  6. Step 6: Final answer
    x = 563,808.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.